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555005005056 = 2833142756269
BaseRepresentation
bin10000001001110001110…
…00000100110100000000
31222001120020211111002000
420010320320010310000
533043122240130211
61102544335224000
755045353463515
oct10047070046400
91861506744060
10555005005056
111a4415946967
128b692078000
134044baac548
141cc1055930c
15e684abc656
hex8138e04d00

555005005056 has 144 divisors (see below), whose sum is σ = 1642426766400. Its totient is φ = 184868739072.

The previous prime is 555005005031. The next prime is 555005005109. The reversal of 555005005056 is 650500500555.

555005005056 is a `hidden beast` number, since 5 + 5 + 50 + 0 + 500 + 50 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 555005005056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9835290 + ... + 9891558.

Almost surely, 2555005005056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 555005005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821213383200).

555005005056 is an abundant number, since it is smaller than the sum of its proper divisors (1087421761344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

555005005056 is a wasteful number, since it uses less digits than its factorization.

555005005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57721 (or 57701 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 555005005056 in words is "five hundred fifty-five billion, five million, five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1427 1728 2304 2854 3456 4281 5708 6912 8562 11416 12843 17124 22832 25686 34248 38529 45664 51372 56269 68496 77058 91328 102744 112538 136992 154116 168807 182656 205488 225076 273984 308232 337614 365312 410976 450152 506421 547968 616464 675228 821952 900304 1012842 1095936 1232928 1350456 1519263 1643904 1800608 2025684 2465856 2700912 3038526 3287808 3601216 4051368 4931712 5401824 6077052 7202432 8102736 9863424 10803648 12154104 14404864 16205472 21607296 24308208 32410944 43214592 48616416 64821888 80295863 97232832 129643776 160591726 194465664 240887589 321183452 388931328 481775178 642366904 722662767 963550356 1284733808 1445325534 1927100712 2167988301 2569467616 2890651068 3854201424 4335976602 5138935232 5781302136 7708402848 8671953204 10277870464 11562604272 15416805696 17343906408 20555740928 23125208544 30833611392 34687812816 46250417088 61667222784 69375625632 92500834176 138751251264 185001668352 277502502528 555005005056